Search a number
-
+
5012056212 = 22317191307419
BaseRepresentation
bin1001010101011110…
…11110100010010100
3110221022001211120120
410222233132202110
540231041244322
62145201431540
7235126526532
oct45257364224
913838054516
105012056212
1121421a2019
12b7a63b5b0
1361b4c0347
1435791d152
151e5038a5c
hex12abde894

5012056212 has 96 divisors (see below), whose sum is σ = 12517908480. Its totient is φ = 1555361280.

The previous prime is 5012056187. The next prime is 5012056213. The reversal of 5012056212 is 2126502105.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5012056213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11961739 + ... + 11962157.

It is an arithmetic number, because the mean of its divisors is an integer number (130394880).

Almost surely, 25012056212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5012056212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258954240).

5012056212 is an abundant number, since it is smaller than the sum of its proper divisors (7505852268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5012056212 is a wasteful number, since it uses less digits than its factorization.

5012056212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5012056212 is about 70795.8770833443. The cubic root of 5012056212 is about 1711.3492323278.

Adding to 5012056212 its reverse (2126502105), we get a palindrome (7138558317).

The spelling of 5012056212 in words is "five billion, twelve million, fifty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 191 204 307 382 419 573 614 764 838 921 1146 1228 1257 1676 1842 2292 2514 3247 3684 5028 5219 6494 7123 9741 10438 12988 14246 15657 19482 20876 21369 28492 31314 38964 42738 58637 62628 80029 85476 117274 128633 160058 175911 234548 240087 257266 320116 351822 385899 480174 514532 703644 771798 960348 996829 1360493 1543596 1993658 2186761 2720986 2990487 3987316 4081479 4373522 5441972 5980974 6560283 8162958 8747044 11961948 13120566 16325916 24568903 26241132 49137806 73706709 98275612 147413418 294826836 417671351 835342702 1253014053 1670685404 2506028106 5012056212